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Finding the Third Proportional to 771,660 and 1,602,456

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Solution

The third proportional to 771,660 and 1,602,456 is: 3,327,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,660 : 1,602,456 = 1,602,456 : x
  2. Step 2: Convert to fraction form
    771,660/1,602,456 = 1,602,456/x
  3. Step 3: Cross multiply
    771,660x = 1,602,456 × 1,602,456
  4. Step 4: Simplify right side
    771,660x = 2,567,865,231,936
  5. Step 5: Solve for x
    x = 2,567,865,231,936/771,660
  6. Step 6: Final answer
    x = 3,327,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.